References

  1. E. Alperovits, U. Shamir, Design of optimal water distribution systems, Water Resour. Res., 13 (1977) 885–900.
  2. K.E Lansey., L.W. Mays, Optimization model for water distribution system design, J. Hydraul. Eng, 115 (1989) 1401–1418.
  3. O. Fujiwara, D.B. Khang, A two-phase decomposition method for optimal design of looped water distribution networks, Water Resour. Res., 26 (1990) 539–549.
  4. J. Kennedy, R.C. Eberhart, Particle Swarm Optimization, Proc. IEEE International Conference on Neural Networks, Perth, WA, IEEE Xplore, 1995, pp. 1942–1948.
  5. X. Xu, Y.Tang, J. Li, C. Hua, X. Guan, Dynamic multi-swarm particle swarm optimizer with cooperative learning strategy, Appl. Soft Comput., 29 (2015) 169–183.
  6. T. Blackwell, A study of collapse in bare bones particle swarm optimization, IEEE Trans. Evol. Comput., 16 (2012) 354–372.
  7. J.H. Holland, Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence, University of Michigan Press, Oxford, England, 1975.
  8. M. Dorigo, Optimization, Learning and Natural Algorithms, Ph.D Thesis, Politecnico di Milano, Italy, 1992.
  9. S. Kirkpatrick, C.D. Gelatt, M.P. Vecchi, Optimization by simulated annealing, Science, 220 (1983) 671–680.
  10. Q. Duan, S. Sorooshian, V. Gupta, Effective and efficient global optimization for conceptual rainfall‐runoff models, Water Resour. Res., 28 (1992) 1015–1031.
  11. Z. W. Geem, J.H. Kim, G.V. Loganathan, A new heuristic optimization algorithm: harmony search. Simulation, 76 (2001) 60–68.
  12. R. Dawkins, The Selfish Gene, Oxford University Press, Oxford, 1976.
  13. M.M. Eusuff, K.E. Lansey, Optimization of water distribution network design using the shuffled frog leaping algorithm, J. Water Resour. Plann. Manage., 129 (2003) 210–225.
  14. D.E.G. Trigueros, A.N. Módenes, M.A.S.S. Ravagnani, F.R. Espinoza-Quiñones, Reuse water network synthesis by modified PSO approach, Chem. Eng., J. 183 (2012) 198–211.
  15. M.A.S.S. Ravagnani, D.E.G. Trigueros, A.N. Módenos, F.R. Espinoza-Quiñones, Synthesis of reuse water networks by PSO approach, LNCS, 8790 (2014) 282–294.
  16. C.R. Suribabu, T.R. Neelakantan, Design of water distribution networks using particle swarm optimization, Urban Water J. 3 (2006) 111–120.
  17. R. Ezzeldin, B. Djebedjian, T. Saafan, Integer discrete particle swarm optimization of water distribution networks, J. Pipeline Syst. Eng. Pract., 5 (2014) 04013013–1 04013013–11.
  18. D.F. Surco, T.P.B. Vecchi, M.A.S.S. Ravagnani, Optimization of water distribution networks using a modified particle swarm optimization algorithm, Water Sci. Technol. Water Supply, 18 (2017) 660–678.
  19. F. Zheng, A.C. Zecchin, J.P. Newman, H.R. Maier, G.C. Dandy, An adaptive convergence-trajectory controlled ant colony optimization algorithm with application to water distribution system design problems, IEEE Trans. Evol. Comput., 21 (2017) 773–791.
  20. J. Reca, J. Martínez, R. López, A hybrid water distribution networks design optimization method based on a search space reduction approach and a genetic algorithm, Water, 9 (2017) 845.
  21. H.A. El-Ghandour, E. Elbeltagi, Comparison of five evolutionary algorithms for optimization of water distribution networks, J. Comput. Civ. Eng., 32 (2018) 04017066-1 04017066-10.
  22. H. Chen, Y. Zhu, K. Hu, Discrete and continuous optimization based on multi-swarm coevolution, Nat. Comput., 9 (2010) 659–682.
  23. J. Kennedy, R.C. Eberhart, A discrete binary version of the particle swarm algorithm, In 1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation, Orlando, USA, 1997, pp. 4104–4108.
  24. Y. Shi, R. Eberhart, A modified particle swarm optimizer, In 1998 IEEE International Conference on Evolutionary Computation Proceedings, Anchorage, 1998, 69–73.
  25. B. Niu, Y. Zhu, X. He, H. Wu, MCPSO: a multi-swarm cooperative particle swarm optimizer, Appl. Math. Comput., 185 (2007) 1050–1062.
  26. A. Kaveh, K. Laknejadi, A new multi-swarm multi-objective optimization method for structural design, Adv. Eng. Software, 58 (2013) 54–69.
  27. L.A. Rossman, EPANET 2 Users Manual, EPA Enviromental Protection Agency, Cincinnati, 2000.
  28. D.F. Surco, T.P.B. Vecchi, M.A.S.S. Ravagnani, Rehabilitation of water distribution networks using particle swarm optimization, Desal. Water Treat., 106 (2018) 312–329.
  29. M. Shrivatava, V. Prasad, R. Khare, Multi-objective optimization of water distribution system using particle swarm optimization, IOSR-J. Mech. Civ. Eng., 12 (2015) 21–28.
  30. M.S. Kadu, R. Gupta, P.R. Bhave, Optimal design of water networks using a modified genetic algorithm with reduction in search space, J. Water Resour. Plann. Manage, 134 (2008) 147–160.
  31. C.R. Suribabu, Heuristic-based pipe dimensioning model for water distribution networks, J. Pipeline Syst. Eng. Pract., 3 (2012) 115–124.